Crossbone tuning - Revision history

Fredg999 category edits: Categories

2025-07-31T15:38:04Z

BudjarnLambeth: Added links to dead end page

2024-01-09T05:00:49Z

Added links to dead end page

← Older revision		Revision as of 05:00, 9 January 2024
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	The first order of the Crossbone Tuning encompasses the first pair of twin pair of twin primes separated by 12, the set {5,7}\|{17,19}.		The first order of the Crossbone Tuning encompasses the first pair of twin pair of twin primes separated by 12, the set {5,7}\|{17,19}.

	The septave and pentave are not based around the octave, thus each individual septave and pentave will be completely unique and be found to approximate different intervals. Notice below that many of the intervals approximated happen to be harmonics! Those which are not harmonics happen to be readily usable just intervals no greater than 7-limit in the first sepent and 11-limit in the second sepent. (The sepent refers to the total keyspace represented by the pentave followed by the septave.)		The septave and pentave are not based around the [[octave]], thus each individual septave and pentave will be completely unique and be found to approximate different intervals. Notice below that many of the intervals approximated happen to be harmonics! Those which are not harmonics happen to be readily usable just intervals no greater than 7-limit in the first sepent and 11-limit in the second sepent. (The sepent refers to the total keyspace represented by the pentave followed by the septave.)

	One beautiful alignment of the 1st order of Crossbone is that it uses a combination of 17 and 19 tones. We notice that the standard 12-tone keyboard has 12 keys broken into a grouping of 5 notes and a grouping of 7 notes. This means that Crossbones tuning can be easily realized on any 'standard' keyboard, the first 5 7 5 grouping of keys representing the pentave, the second 7 5 7 grouping of keys representing the septave... spanning a total key range of 3 12-tone octaves, coinciding beautifully with the fact that the natural septave and pentave naturally occur between the 2nd and 3rd standard octave. Note that below, the intervals represented are octave-reduced, though the true harmonic range of the septave and pentave are true and preserved on the keyboard, representing the absolute pitch approximation I find to be much more intuitive in comparison to the octave-equivalent versions (ex. a twelfth being represented as 3/2 though sounding as a twelfth).		One beautiful alignment of the 1st order of Crossbone is that it uses a combination of 17 and 19 tones. We notice that the standard 12-tone keyboard has 12 keys broken into a grouping of 5 notes and a grouping of 7 notes. This means that Crossbones tuning can be easily realized on any 'standard' keyboard, the first 5 7 5 grouping of keys representing the pentave, the second 7 5 7 grouping of keys representing the septave... spanning a total key range of 3 12-tone octaves, coinciding beautifully with the fact that the natural septave and pentave naturally occur between the 2nd and 3rd standard octave. Note that below, the intervals represented are octave-reduced, though the true harmonic range of the septave and pentave are true and preserved on the keyboard, representing the absolute pitch approximation I find to be much more intuitive in comparison to the octave-equivalent versions (ex. a twelfth being represented as 3/2 though sounding as a twelfth).
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	'''15/8''' - 5-limit major seventh		'''15/8''' - 5-limit major seventh

	Because the scale is octave-repeating (though derived from the sepent), all sorts of 7-limit inversional fun can be had, and because it is 12-tone, it can be played on a standard keyboard.		Because the scale is [[Octave equivalence\|octave-repeating]] (though derived from the sepent), all sorts of [[7-limit]] inversional fun can be had, and because it is [[Category:12-tone scales\|12-tone]], it can be played on a standard keyboard.

	[[Category:Crossbone]]		[[Category:Crossbone]]

Fredg999 category edits: Removing from Category:Temperament using Cat-a-lot

2022-03-01T02:16:17Z

Removing from Category:Temperament using Cat-a-lot

← Older revision		Revision as of 02:16, 1 March 2022
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	[[Category:Edt]]		[[Category:Edt]]
	[[Category:Lattice]]		[[Category:Lattice]]
	~~[[Category:Temperament]]~~
	[[Category:Tuning]]		[[Category:Tuning]]

Xenwolf: Xenwolf moved page Crossbone Tuning to Crossbone tuning: Rule: only first letter capitalized. Reason: less typing when referenced

2020-09-26T13:59:04Z

Xenwolf moved page Crossbone Tuning to Crossbone tuning: Rule: only first letter capitalized. Reason: less typing when referenced

← Older revision	Revision as of 13:59, 26 September 2020
(No difference)

Xenwolf: cleanup

2020-09-26T13:58:31Z

cleanup

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Jkarimak at 20:02, 12 September 2020

2020-09-12T20:02:37Z

← Older revision		Revision as of 20:02, 12 September 2020
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	where x is the corresponding member of the greater set and each interval having a distance of the corresponding lesser member raised by (1/x).		where x is the corresponding member of the greater set and each interval having a distance of the corresponding lesser member raised by (1/x).

	For {5,7} and {17,19}, the yielded Crossbone Tuning would utilize both 5^1/17 and 7^1/19, or 17EDP (Equally-divided pentave) and 19EDS (Equally-divided septave).		For {5,7} and {17,19}, the yielded Crossbone Tuning would utilize both 5^(1/17) and 7^(1/19), or 17EDP (Equally-divided pentave) and 19EDS (Equally-divided septave).

	==Ordering==		==Ordering==

Jkarimak at 20:01, 12 September 2020

2020-09-12T20:01:28Z

← Older revision		Revision as of 20:01, 12 September 2020
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	==Example==		==Example==

	Twin primes {5,7} and {17,19} represent a set of twin primes capable of being Crossbone'd, as both 17-5=12 and 19-7 = 12. Once a pair of permissible twin primes is composed, two temperaments are devised by taking each member of the lesser set and dividing it into x equi-distant intervals		Twin primes {5,7} and {17,19} represent a set of twin primes capable of being Crossbone'd, as both 17 - 5 = 12 and 19 - 7 = 12. Once a pair of permissible twin primes is composed, two temperaments are devised by taking each member of the lesser set and dividing it into x equi-distant intervals

	where x is the corresponding member of the greater set and each interval having a distance of the corresponding lesser member raised by (1/x).		where x is the corresponding member of the greater set and each interval having a distance of the corresponding lesser member raised by (1/x).

Jkarimak at 20:00, 12 September 2020

2020-09-12T20:00:45Z

← Older revision		Revision as of 20:00, 12 September 2020
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	==Example==		==Example==

	Twin primes {5,7} and {17,19} represent a set of twin primes capable of being Crossbone'd, as both 17-5=12 and 19-17 = 12. Once a pair of permissible twin primes is composed, two temperaments are devised by taking each member of the lesser set and dividing it into x equi-distant intervals		Twin primes {5,7} and {17,19} represent a set of twin primes capable of being Crossbone'd, as both 17-5=12 and 19-7 = 12. Once a pair of permissible twin primes is composed, two temperaments are devised by taking each member of the lesser set and dividing it into x equi-distant intervals

	where x is the corresponding member of the greater set and each interval having a distance of the corresponding lesser member raised by (1/x).		where x is the corresponding member of the greater set and each interval having a distance of the corresponding lesser member raised by (1/x).

Spt3125: reformatted

2018-09-19T02:42:37Z

reformatted

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Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

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← Older revision		Revision as of 15:38, 31 July 2025
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	[[Category:Crossbone]]		[[Category:Crossbone]]
	[[Category:~~Edt~~]]		[[Category:Edonoi]]
	[[Category:Lattice]]		[[Category:Lattice]]
	[[Category:Tuning]]		[[Category:Tuning]]